What is the Least Common Multiple of 58796 and 58806?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 58796 and 58806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58796 and 58806, than apply into the LCM equation.

GCF(58796,58806) = 2
LCM(58796,58806) = ( 58796 × 58806) / 2
LCM(58796,58806) = 3457557576 / 2
LCM(58796,58806) = 1728778788

Least Common Multiple (LCM) of 58796 and 58806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58796 and 58806. First we will calculate the prime factors of 58796 and 58806.

Prime Factorization of 58796

Prime Factorization of 58806

Now multiplying the highest exponent prime factors to calculate the LCM of 58796 and 58806.

LCM(58796,58806) = 2² × 14699¹ × 3⁵ × 11²
LCM(58796,58806) = 1728778788